Hi,

it seems there is an algorithm based on graph colouring (about what Sage
knows a bit already), you can have a look at
http://www.sciencedirect.com/science/article/pii/S0196677498909749 (i
succeeded to download the pdf so email me if you need it)

Ciao,
Thierry



On Mon, Dec 22, 2014 at 01:19:52AM -0800, Nathann Cohen wrote:
> Helloooooo everybody !
> 
> I wondered how one could compute the dimension of a poset, i.e. a smallest 
> set of linear extension whose interection is the poset.
> 
> It is apparently known for being NP-Hard, but that never stopped us in the 
> past. Plus I am curious to learn how this could be done. We need some code 
> for that !
> 
> Tell me if you have any idea, please !
> 
> Thanks,
> 
> Nathann
> 
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